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Cogito

Grade 6 Math · Chapter 7 · Lesson 4

Practice Worksheet

Area of a Trapezoid

Two copies make a parallelogram.

10 problems · about 18 minutes · 6.G.A.1

NameDate

Figure — use these to answer the problems

The doubled trapezoid is this rectangle. One trapezoid is half of it.

Area · squares inside

40

Perimeter · walk around

28

10 × 4 = 40 · 10 + 4 + 10 + 4 = 28

The two parallel sides added10
Height4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Area of a Parallelogram”

    Base 8, height 7. Area?

    Answer

  2. From “Surface Area from Nets”

    A cube with edge 5. Surface area?

    Answer

  3. From “Area of Triangles”

    Base 14, height 6. Area?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Parallel sides 5 and 11, height 4. Area?

    Answer

  2. Parallel sides 3 and 7, height 2. Area?

    Answer

  3. Parallel sides 6 and 6, height 5. Area?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Parallel sides 2 and 8, height 4. Area?

    Answer

  2. Why is the answer halved at the end?

    • Two trapezoids were used to build the parallelogram.
    • Because it is a triangle.

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Garden Bed

    Parallel sides 4 and 8, height 3. What is the area?

    Answer

  2. The Roof Panel

    Parallel sides 5 and 9, height 6. What is the area?

    Answer